Answer:
(-9, 10)
Step-by-step explanation:
The location of the midpoint of a line with endpoint at () and (
) is given as (x, y). The location of x and y are:
Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:
Hence the endpoint is at (x2, y2) which is at (-9, 10)
the equations y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions. option B is correct.
<h3>What is the linear system?</h3>It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Condition for the parallel lines.
L1, ax + bx + c = 0
L2, dx + ey + f = 0
If then lines have infinitely many solutions.
y = –3x + 4 and 3y = –9x + 12
On comparing we have
a = -3 , b = 1, and c = 4
d = -9 , e = 3, and f = 12
Then their ratio will be
Hence y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions.
Thus the option B is correct.
More about the linear system link is given below.
Answer:
If AB = BA = I, then B is inverse of A and vice-versa.
Step-by-step explanation:
Given: AB = BA = I
To find: The relation between matrix A and B.
If AB = BA = I, then B is called the inverse matrix of A and is denoted by .
In that case, A is said to be invertible.
Also, if B is the inverse of A, then A is also the inverse of B.
Hence, the relation between A and B is that both are inverse of each other.
Answer: The result is one half ()
Step-by-step explanation:
We have the following expression:
Since both fractions have the same denominator, we can just add both numerators and keep the denominator:
Dividing numerator and denominator by :
This is the result